Answer:
see below
Step-by-step explanation:
In the system of equations, x represents the, price to wash a car and y represents the price to wash an SUV.
If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are the price of the car wash (x) and the price of the SUV wash (y)______.
x=12 and y = 18
x+y = 12+18 = 30
The total cost of 1 car and 1 SUV is $_30____.
5x+4y = 5(12)+4(18) = 60+ 72 =132
The total earnings for hour 3 are $_132_____.
Answer:
Step-by-step explanation:
Function 'f' represents the number of miles (y-values) covered by the helicopter in 'x' (x-values) minutes.
f(x) = 40 - 2x
For x = 0,
f(x) = 40 miles
For f(x) = 0,
0 = 40 - 2x
x = 20 minutes
This shows that helicopter traveled 40 miles in 20 minutes.
Similarly, given graph shows distance covered by the jet on y-axis and duration of flight on x-axis.
For x = 0,
f(x) = 500 miles
For f(x) = 0,
x = 100 minutes
Commercial jet traveled 500 miles in 100 minutes.
Answer:
0.75 feet per second.
Step-by-step explanation:
Please find the attachment.
We have been given that a 25-ft ladder is leaning against a wall. We can see from the attachment that ladder forms a right triangle with respect to wall and ground.
So we can set a Pythagoras theorem as:


Now, we need to find the derivative of above equation with respect to time.

Since the adder is moving toward the wall at a rate of 1 ft/sec for 5 sec, so x after 5 seconds would be: 
Let us solve for y using Pythagoras theorem.




Take positive square root:


Upon substituting our given values in derivative equation, we will get:






Therefore, the ladder is moving up at a rate of 0.75 feet per second.
Answer:
Step-by-step explanation:
What is a complementary angle?